Titlebook: Applications of Finite Fields; Ian F. Blake,XuHong Gao,Tomik Yaghoobian,Alfred J. Book 1993 Springer-Verlag US 1993 algorithms.coding theo

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Adjacent (Neighboring) Extreme Pointsfor factoring integers [8, 9], for primality proving [2, 11, 12] and for the construction of pseudorAndom bit generators [4]. In Chapter 8 we study how elliptic curves can be used in constructing efficient and secure cryptosystems, while in Chapter 10 we will discuss how good error-correcting codes may be obtained by using elliptic curves.

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Optimal Normal Bases,xample, see [12]). The complexity of the hardware design of such multiplication schemes is heavily dependent on the choice of the normal bases used. Hence it is essential to find normal bases of low complexity.

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Geyser

https://doi.org/10.1007/978-1-4419-1153-7le the reader to understAnd the algebraic geometric codes. The majority of this chapter is based on the treatment of Fulton [2]. For a more complete treatment of algebraic geometry the reader should consult that reference, or the recent book by Moreno [4]. Some other stAndard textbooks in algebraic geometry are [1, 3, 7, 9].

山間窄路

Introduction to Algebraic Geometry,le the reader to understAnd the algebraic geometric codes. The majority of this chapter is based on the treatment of Fulton [2]. For a more complete treatment of algebraic geometry the reader should consult that reference, or the recent book by Moreno [4]. Some other stAndard textbooks in algebraic geometry are [1, 3, 7, 9].

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Elliptic Curve Cryptosystems,crete logarithm problem in . is believed to be intractable, elliptic curve cryptosystems have the potential to provide security equivalent to that of existing public key schemes, but with shorter key lengths. Having short key lengths is a factor that can be crucial in some applications, for example the design of smart card systems.

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